Introduction To The Calculus of Variations And Its Applications, Second Edition
Introduction To The Calculus of Variations And Its Applications, Second Edition

Author: Frederic Wan

Publisher: CRC Press

Published: 1995-01-01

Total Pages: 660

ISBN-13: 9780412051418

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This comprehensive text provides all information necessary for an introductory course on the calculus of variations and optimal control theory. Following a thorough discussion of the basic problem, including sufficient conditions for optimality, the theory and techniques are extended to problems with a free end point, a free boundary, auxiliary and inequality constraints, leading to a study of optimal control theory.

Introduction to the Calculus of Variations and Control with Modern Applications
Introduction to the Calculus of Variations and Control with Modern Applications

Author: John A. Burns

Publisher: CRC Press

Published: 2013-08-28

Total Pages: 562

ISBN-13: 1466571403

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Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions a

Introduction to the Calculus of Variations
Introduction to the Calculus of Variations

Author: Hans Sagan

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 484

ISBN-13: 048613802X

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Provides a thorough understanding of calculus of variations and prepares readers for the study of modern optimal control theory. Selected variational problems and over 400 exercises. Bibliography. 1969 edition.

Calculus of Variations
Calculus of Variations

Author: Charles R. MacCluer

Publisher: Courier Corporation

Published: 2013-05-20

Total Pages: 274

ISBN-13: 0486278301

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First truly up-to-date treatment offers a simple introduction to optimal control, linear-quadratic control design, and more. Broad perspective features numerous exercises, hints, outlines, and appendixes, including a practical discussion of MATLAB. 2005 edition.

The Calculus of Variations
The Calculus of Variations

Author: Bruce van Brunt

Publisher: Springer Science & Business Media

Published: 2006-04-18

Total Pages: 295

ISBN-13: 0387216979

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Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether’s theorem. The text includes numerous examples along with problems to help students consolidate the material.

An Introduction to the Calculus of Variations
An Introduction to the Calculus of Variations

Author: L.A. Pars

Publisher: Courier Corporation

Published: 2013-12-10

Total Pages: 358

ISBN-13: 0486165957

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Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.

Introduction to the Calculus of Variations
Introduction to the Calculus of Variations

Author: Bernard Dacorogna

Publisher: Imperial College Press

Published: 2009

Total Pages: 241

ISBN-13: 1848163339

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The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist ? mathematicians, physicists, engineers, students or researchers ? in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

Calculus of Variations
Calculus of Variations

Author: I. M. Gelfand

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 260

ISBN-13: 0486135012

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Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

Calculus of Variations
Calculus of Variations

Author: Hansjörg Kielhöfer

Publisher: Springer

Published: 2018-01-25

Total Pages: 242

ISBN-13: 3319711237

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This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself. Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study. The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background.